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Consider the following bond quotations taken on Mar 14, 2022 : Maturity Coupon Bid Price Asked Price Yield to maturity Duration Val01 8/15/2041 1.750% 87.076

Consider the following bond quotations taken on Mar 14, 2022:

Maturity

Coupon

Bid Price

Asked Price

Yield to maturity

Duration

Val01

8/15/2041

1.750%

87.076

87.096

5/15/2041

3.750%

110.216

110.236

  1. What is your intuition about the different coupon rates of the bonds?
  2. What are the Yields to maturities (using the asked price) of the bonds?
  3. What are the Val01 of the bonds?
  4. Is there an arbitrage opportunity?
  5. What is the required transaction to exploit the arbitrage opportunity? Specify the details of the transaction.
  6. How much would you make on $10m face value on these bonds?
  7. What are the risks involved in the strategy?

Important - Note

For Risk-free rate Rf use the Yield (using the asked price) of the following 10-year bond (price as of Mar 14, 2022, this is the settlement date):

maturity

Coupon

Bid Price

Asked Price

Yield to Maturity

2/15/2032

1.875

97.196

97.206

  • Assume that market risk premium (Rm Rf) = 6%

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